Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032bb |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-987614208 = -1 · 210 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,-488] |
[a1,a2,a3,a4,a6] |
Generators |
[9:49:1] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
3.6665556283301 |
L(r)(E,1)/r! |
Ω |
0.89419321539061 |
Real period |
R |
2.0502032252215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032n1 1008j1 1344p1 100800oe1 |
Quadratic twists by: -4 8 -3 5 |